Column effective lengths considering inter-story and inter-column interactions in sway-permitted frames

Tong, Genshu; Wang, J.P.

doi:10.1016/j.jcsr.2005.09.003

Cited by 19 publications

(12 citation statements)

References 6 publications

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“…As stated earlier, effective length factor can be determined by alignment chart (AISC [1], SAC [2]), or by the following approximate analysis solution (CM [16], Dumonteil [17][18], Tong and Wang [10])…”

Section: Buckling Analysis Of Unbraced Framesmentioning

confidence: 99%

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Modified Approaches for Calculation of Effective Length Factor of Frames

Chen¹,

Chuan²

2015

Volume 11 Number 1

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As a crucial factor for stability calculation of frames, the effective length factor is generally determined by the traditional approaches in most current design codes, but some assumptions imposed do not reflect the real frame buckling behaviors. In this paper modified approaches are proposed based on the change of some unreasonable assumptions of the traditional approaches mainly in two aspects. Firstly, the premise that all frame columns buckle simultaneously is changed into an individual column buckling mode in braced frames, or story buckling mode in both braced and unbraced frames. Secondly, actual distribution of axial forces of columns is taken into account, so that the stability functions of columns may not be identical. Moreover, approximate formulas for calculation of the effective length factor are obtained based on the modified approaches, by which a series of numerical analysis is carried out. Numerical analysis results demonstrate that the modified approaches improve the accuracy well compared with the traditional ones.

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Section: Buckling Analysis Of Unbraced Framesmentioning

confidence: 99%

“…Chen et al [8][9] considered semi-rigid beam-column joints, which expanded the scope of traditional approaches. Tong and Wang [10] abandoned assumptions 4 and 5 of traditional approaches. Their method is extended to multi-span with multi-story frames by using consolidation method.…”

Section: Introductionmentioning

confidence: 99%

Modified Approaches for Calculation of Effective Length Factor of Frames

Chen¹,

Chuan²

2015

Volume 11 Number 1

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“…A reasonably comprehensive review of story‐based approaches is given in Hellesland, and similarly, this study also presents a method for the approximate story‐based treatments of horizontally interacting columns in sidesway unbraced frames. The problem of taking vertical interaction into account is discussed in Hellesland and Tong and Wang . Salama proposed some simple equations for obtaining of the effective length factors and compared those factors with the values recommended in structural specifications.…”

Section: Introductionmentioning

confidence: 99%

A simplified method for instability and second‐order load effects of framed structures: Story‐based approach

Günaydın

Aydin

2019

Structural Design Tall Build

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Summary Several building codes such as ANSI/AISC 360‐16 and EC3 EN 1993‐1‐1 require the use of a proper design method to consider instability and second‐order load effect problems for individual system elements and the entire structural system. Various methods are available to assess stability. All of these methods should consider P‐Δ and P‐δ effects (second‐order effects). The following calculation procedures are presented in this study: (a) a simplified method is developed for P‐Δ and P‐δ analysis in regular frames under the effect of constant axial loads to obtain story drifts and end moments; (b) this method can be applied to an entire building or any individual story, that is, story‐based design is possible; and (c) column effective length factors are obtained for individual columns. In addition, design tables are presented.

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“…Furthermore, eigenvalue analysis may yield extremely large effective length for the members that have small axial forces at the buckling of the overall system (ASCE, 1997). The effective length by eigenvalue analysis may correct only for the weakest member against the buckling in the structure (Tong and Wang, 2006). The interpretation and solutions for amending this anomaly tend to be only charged to insight and judgment by engineers without any obvious explanations.…”

Section: Introductionmentioning

confidence: 99%

Stability evaluation of steel girder members in long-span cable-stayed bridges by member-based stability concept

Yoo

Choi

et al. 2010

International Journal of Steel Structures

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The member-based design concept utilizing the buckling length of each structural member has been widely used to assess the buckling instability of steel structures. Since steel girder members in conventional cable-stayed bridges are generally exposed to large axial forces, the buckling instability of these members should be carefully investigated in the design stage. However, analytical approaches for obtaining the buckling lengths of steel members, such as the alignment chart, story-buckling and story-stiffness methods, may not be adopted to cable-stayed bridges because these approaches imply some theoretical assumptions that are adequate only for steel framed-structures. Furthermore, the boundary conditions of steel girder members supporting by cables are obscure to be prescribed in general terms. Numerical eigenvalue analysis may be one of the most excellent candidates for determining the buckling lengths of steel girder members in that this method can handle the interactions among members implicitly without any irrelevant assumptions for cable-stayed bridges. This paper discusses detailed procedures for obtaining buckling lengths of steel girder members in cable-stayed bridges by numerical eigenvalue analysis. In order to avoid the problem of generating excessively large buckling lengths in some girder members having small axial forces, a modified eigenvalue analysis is proposed by introducing the concept of a fictitious axial force. Practical application example for a real cable-stayed bridge is illustrated with some discussions on the effect of the proposed modification and stability evaluation by member-based stability concept.

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Column effective lengths considering inter-story and inter-column interactions in sway-permitted frames

Cited by 19 publications

References 6 publications

Modified Approaches for Calculation of Effective Length Factor of Frames

Modified Approaches for Calculation of Effective Length Factor of Frames

A simplified method for instability and second‐order load effects of framed structures: Story‐based approach

Stability evaluation of steel girder members in long-span cable-stayed bridges by member-based stability concept

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